The 1-0 win at City secured Spurs a place in the qualifying round of next season’s Champions League.
“It is an amazing achievement,” Levy told Sky Sports News.
“Harry and the players have done a magnificent job. It is fantastic for the club and obviously the fans. It is a real achievement.”
Levy added: “I always knew Harry was a great manager. This is a team sport, clearly he has made a great contribution, but also credit needs to go to the team.”